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Estimates for the polar derivative of a constrained polynomial on a disk

dc.creatorMilovanović, Gradimir V.
dc.creatorMir, Abdullah
dc.creatorHussain, Adil
dc.date2022-12-21
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3214
dc.identifier10.56754/0719-0646.2403.0541
dc.descriptionThis work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane. When there is a limit on the zeros of a polynomial, we develop some additional inequalities that relate the uniform-norm of the polynomial to its polar derivative. The obtained results support some recently established ErdÅ‘s-Lax and Turán-type inequalities for constrained polynomials, as well as produce a number of inequalities that are sharper than those previously known in a very large literature on this subject.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3214/2265
dc.rightsCopyright (c) 2022 G. V. Milovanović et al.en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 No. 3 (2022); 541–554en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 Núm. 3 (2022); 541–554es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectComplex domainen-US
dc.subjectConstrained polynomialen-US
dc.subjectRouché‘s theoremen-US
dc.subjectZerosen-US
dc.titleEstimates for the polar derivative of a constrained polynomial on a disken-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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